The factor theorem states that if there is a polynomial of degree greater than or equal to one and ‘a’ be a real number. If P(a) = 0 then $(x - a)$ is the factor of the polynomial P(x).

True

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False

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Solution

The correct option is A
True

As per factor theorem, if there is a polynomial of degree greater than or equal to one and ‘a’ be a real number. If P(a) = 0 then $(x - a)$ is a factor of the polynomial P(x) and if $(x - a)$ is a factor of the polynomial P(x) then P(a) = 0.

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Q. Assertion :If p(x) is a polynomial of degree

\geq

1 and ax+b is a factor of p(x) then we have

p (- \frac{b}{a}) = 0

. Reason: If p(x) is a polynomial of degree

\geq

1, then polynomial (x-a)(x-b) is a factor of p(x) if p(a)=0 and p(b)=0.

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The factor theorem states that if there is a polynomial of degree greater than or equal to one and ‘a’ be a real number. If P(a) = 0 then (x–a) is the factor of the polynomial P(x).

The correct option is A True As per factor theorem, if there is a polynomial of degree greater than or equal to one and ‘a’ be a real number. If P(a) = 0 then (x–a) is a factor of the polynomial P(x) and if (x–a) is a factor of the polynomial P(x) then P(a) = 0.

The factor theorem states that if there is a polynomial of degree greater than or equal to one and ‘a’ be a real number. If P(a) = 0 then $(x - a)$ is the factor of the polynomial P(x).

The correct option is A
True

As per factor theorem, if there is a polynomial of degree greater than or equal to one and ‘a’ be a real number. If P(a) = 0 then $(x - a)$ is a factor of the polynomial P(x) and if $(x - a)$ is a factor of the polynomial P(x) then P(a) = 0.